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Finding the Fourth Proportional to 1,869.87, 2,580.42 and 1,083.90

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Solution

The fourth proportional to 1,869.87, 2,580.42 and 1,083.90 is: 1,495.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,869.87 : 2,580.42 = 1,083.90 : x
  2. Step 2: Convert to fraction form
    1,869.87/2,580.42 = 1,083.90/x
  3. Step 3: Cross multiply
    1,869.87x = 2,580.42 × 1,083.90
  4. Step 4: Simplify right side
    1,869.87x = 2,796,917.24
  5. Step 5: Solve for x
    x = 2,796,917.24/1,869.87
  6. Step 6: Final answer
    x = 1,495.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.